The sides of the rectangle are expressed in whole numbers. How long should they be so

The sides of the rectangle are expressed in whole numbers. How long should they be so that the perimeter is numerically equal to its area.

We find the area of the rectangle S = a * b, and the perimeter is P = 2 * (a + b).

By the condition of the problem, we have:

S = P,

a * b = 2 * (a + b),

whence we get an expression for finding side a along the known side b:

a = (2 * b) / (b – 2).

We got a set (countless number) of rectangles, the area of which is numerically equal to the perimeter.

Let b = 5 units, then a = 10/3,

S = 50/3, P = 50/3,

S = P.